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234032130 = 232523167677
BaseRepresentation
bin11011111001100…
…00110000000010
3121022101001201200
431330300300002
5434403012010
635120042030
75541145263
oct1574606002
9538331650
10234032130
11110117892
1266463316
1339641667
142312096a
151582ccc0
hexdf30c02

234032130 has 96 divisors (see below), whose sum is σ = 639684864. Its totient is φ = 59250048.

The previous prime is 234032119. The next prime is 234032137. The reversal of 234032130 is 31230432.

234032130 is a `hidden beast` number, since 2 + 340 + 321 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (234032137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 345352 + ... + 346028.

It is an arithmetic number, because the mean of its divisors is an integer number (6663384).

Almost surely, 2234032130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234032130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319842432).

234032130 is an abundant number, since it is smaller than the sum of its proper divisors (405652734).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

234032130 is a wasteful number, since it uses less digits than its factorization.

234032130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 234032130 is about 15298.1087066343. The cubic root of 234032130 is about 616.2522175833.

Adding to 234032130 its reverse (31230432), we get a palindrome (265262562).

The spelling of 234032130 in words is "two hundred thirty-four million, thirty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 167 207 230 334 345 414 501 677 690 835 1002 1035 1354 1503 1670 2031 2070 2505 3006 3385 3841 4062 5010 6093 6770 7515 7682 10155 11523 12186 15030 15571 19205 20310 23046 30465 31142 34569 38410 46713 57615 60930 69138 77855 93426 113059 115230 140139 155710 172845 226118 233565 280278 339177 345690 467130 565295 678354 700695 1017531 1130590 1401390 1695885 2035062 2600357 3391770 5087655 5200714 7801071 10175310 13001785 15602142 23403213 26003570 39005355 46806426 78010710 117016065 234032130